# Integers simply!

Find all the integers $$x,y,z$$ satisfying

$$\large x^2 + y^2 + z^2 = 2xyz$$.

Evaluate the $$\textbf{sum}$$ of all integers of each pair.

$$\textbf{Details}$$

For e.g. If you get your integers solution as

$$(1,2,3)$$ and $$(2,-1,5)$$

Then enter your answer as $$1+2+3+2-1+5=\boxed{12}$$

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